Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8/552, 13/519, 45/402 quickly i.e. 1560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8/552, 13/519, 45/402 is 1560.
LCM(8/552, 13/519, 45/402) = 1560
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8/552,13/519,45/402
Formula to find LCM of Fractions is
LCM = LCM of Numerators/GCF of Denominators
As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators
In the given fractions LCM of Numerators means LCM of 8,13,45
Least Common Multiple of Numerators i.e. LCM of 8,13,45 is 4680.
GCF of Denominators means GCF of 552,519,402 as per the given fractions.
GCF of 552,519,402 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8,13,45
Given numbers has no common factors except 1. So, there LCM is their product i.e 4680
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 8,13,45 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8,13,45) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8,13,45) x common factors =1 x 1 = 1
LCM(8,13,45) = ( 8 × 13 × 45 ) / 1
LCM(8,13,45) = 4680 / 1
LCM(8,13,45) = 4680
Lets's calculate GCF of 552,519,402
3 | 552, 519, 402 |
184, 173, 134 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4680/3
Therefore the LCM of Fractions 8/552,13/519,45/402 is 1560
Factors of 552
List of positive integer factors of 552 that divides 552 without a remainder.
1,2,3,4,6,8,12,23,24,46,69,92,138,184,276,552
Factors of 519
List of positive integer factors of 519 that divides 519 without a remainder.
1,3,173,519
Factors of 402
List of positive integer factors of 402 that divides 402 without a remainder.
1,2,3,6,67,134,201,402
Greatest Common Factor
We found the factors 552,519,402 . The biggest common factor number is the GCF number.
So the greatest common factor 552,519,402 is 3.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
1. How to find LCM in Fractions?
Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.
2. What is the LCM of Fractions for 8/552, 13/519, 45/402?
Answer: LCM of Numerators as per given numbers 8/552, 13/519, 45/402 is
LCM of Numerators i.e. for 8,13,45 is 4680
GCF of denominators i.e. for 552,519,402 is 3.
Thus, LCM of Fractions is 1560.Finally, LCM of Fractions for 8/552, 13/519, 45/402 is 1560.